Question

The velocity-time graph of a particle of mass 50 g moving in a fixed direction. The force on the particle is

• A. $2.5\times {10}^{-3}Newton$
• B. $25\times {10}^{-3}Newton$
• C. $250\times {10}^{-3}Newton$
• D. $0.25\times {10}^{-3}Newton$

Answer 1

The correct option is B

$25\times {10}^{-3}Newton$

Given mass of body = $50\times {10}^{-3}$ kg and a =$\frac{1}{2}m/s^2$.

$acceleration=Slopeof{}^{\prime }Velocity-tim{e}^{\prime }graph$, slope = $\frac{y_2-y_1}{x_2-x_1}$ =$\frac{2-0}{4-0}=\frac{1}{2}m/s^2$,
Using F=ma = $50\times {10}^{-3}\times \frac{1}{2}$
=$25\times {10}^{-3}Newton$